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    GREEN'S FUNCTIONS FOR SOLID STATE PHYSICISTS
    A Reprint Volume with Additional Material on the Physics of Correlated Electron Systems

    by S Doniach (Stanford University, USA) & E H Sondheimer (University of London, UK)

    Preface to the Imperial College Press Edition (137k)
    Introduction: The Theory of Condensed Matter (218k)
    Table of Contents (186k)
    Chapter 1: Lattice Dynamics in the Harmonic Approximation
    Chapter 1.1: The Ground State Energy (376k)
    Chapter 1.2: The Ground State Energy as an Integral Over Coupling Constant (145k)
    Chapter 1.3: The Neutron Scattering Cross-Section (253k)
    Chapter 1.4: Green's Functions for Solid State Physicists (441k)
    Chapter 1.5: The Iteration Solution for G (319k)
    Chapter 1.6: Summation of the Iteration Series (371k)
    Chapter 1.7: Calculation of the Ground State Energy and the Neutron Cross-Section in Terms of the Phonon Green's Function (216k)

    This book shows how the analytic properties in the complex energy plane of the Green's functions of many particle systems account for the physical effects (level shifts, damping, instabilities) characteristic of interacting systems. It concentrates on general physical principles and, while it does not discuss experiments in detail, includes introductions to topics of current research interest, such as singularities (X-ray, Kondo) associated with transient perturbations in an electron gas, the Mott metal–insulator transition in correlated electron systems, and the phenomenon of high Tc superconductivity.

    This invaluable book grew out of a course of graduate lectures given by S Doniach at the University of London. It will appeal to beginning graduate students in theoretical solid state physics as an introduction to more comprehensive or more specialized texts and also to experimentalists who would like a quick view of the subject. A basic knowledge of solid state physics and quantum mechanics at graduate level is assumed.

     
    Contents:
    • Lattice Dynamics in the Harmonic Approximation
    • Lattice Dynamics at Finite Temperatures
    • The Feynman-Dyson Expansion
    • The Scattering of Fermions by a Localized Perturbation
    • Electrons in the Presence of Many Impurities — The Theory of Electrical Resistance in Metals
    • The Interacting Electron Gas
    • The Magnetic Instability of the Interacting Electron Gas
    • Interacting Electrons in the Atomic Limit
    • Transient Response of the Fermi Gas — The X-Ray and Kondo Problems
    • Superconductivity
    • Strong Correlated Electron Systems: Heavy Fermions — The 1-Dimensional Electron Gas
    • High Tc Superconductivity
     
    Readership: Graduate students, condensed matter and solid state physicists.
     


     
    336pp    Pub. date: Jun 1998  
    ISBN:   978-1-86094-078-1
    1-86094-078-1
       US$92 / £59

     


    336pp    Pub. date: Jun 1998  
    ISBN:   978-1-86094-080-4(pbk)
    1-86094-080-3(pbk)
       US$48 / £30

     


     

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    Updated on 9 February 2010